1335165328 has 120 divisors (see below), whose sum is σ = 3130346520. Its totient is φ = 549642240.

The previous prime is 1335165323. The next prime is 1335165343. The reversal of 1335165328 is 8235615331.

It can be written as a sum of positive squares in 4 ways, for example, as 2039184 + 1333126144 = 1428^2 + 36512^2 .

It is not an unprimeable number, because it can be changed into a prime (1335165323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2346228 + ... + 2346796.

It is an arithmetic number, because the mean of its divisors is an integer number (26086221).

Almost surely, 2^1335165328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1335165328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565173260).

1335165328 is an abundant number, since it is smaller than the sum of its proper divisors (1795181192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1335165328 is a wasteful number, since it uses less digits than its factorization.

1335165328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 692 counting only the distinct ones).

The product of its digits is 64800, while the sum is 37.

The square root of 1335165328 is about 36539.9141761444. The cubic root of 1335165328 is about 1101.1462783596.

The spelling of 1335165328 in words is "one billion, three hundred thirty-five million, one hundred sixty-five thousand, three hundred twenty-eight".